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Finding the Fourth Proportional to 315,470.40, 473,032.80 and 128,270.40

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Solution

The fourth proportional to 315,470.40, 473,032.80 and 128,270.40 is: 192,335.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,470.40 : 473,032.80 = 128,270.40 : x
  2. Step 2: Convert to fraction form
    315,470.40/473,032.80 = 128,270.40/x
  3. Step 3: Cross multiply
    315,470.40x = 473,032.80 × 128,270.40
  4. Step 4: Simplify right side
    315,470.40x = 60,676,106,469.12
  5. Step 5: Solve for x
    x = 60,676,106,469.12/315,470.40
  6. Step 6: Final answer
    x = 192,335.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.